Algebra EOS Review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you determine the domain from a graph?

Back

Look for the x-values that the graph covers. The domain is the range of x-values that the graph touches or crosses.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the slope from the equation of a line in standard form?

Back

Convert the equation to slope-intercept form (y = mx + b) where m is the slope.

Front

What does it mean for a point to be in the solution set of an inequality?

Back

A point is in the solution set of an inequality if it satisfies the inequality when substituted into it.

Front

What is an example of a point that is NOT in the solution set of an inequality?

Back

For the inequality x < 3, the point (5, 10) is not in the solution set because 5 does not satisfy the inequality.

Front

What is an equation with infinitely many solutions?

Back

An equation with infinitely many solutions occurs when both sides of the equation are equivalent for all values of the variable.

Front

What is a contradiction in algebra?

Back

A contradiction occurs when an equation has no solution, such as 0 = 5.

Front

How do you simplify an expression?

Back

Combine like terms and perform operations according to the order of operations (PEMDAS/BODMAS).

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by a sum.